Suppose a company has fixed costs of $36,000 and variable cost per unit of x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1,452 -fx(a) Form the cost function and revenue function (in dollars).C(x) =R(x) =Find the break-even points. (Enter your answers as a comma-separated list.)X =(b) Find the vertex of the revenue function.(x, y) =Identify the maximum revenue.$(c) Form the profit function from the cost and revenue functions (in dollars).P(x) =Find the vertex of the profit function.(x, y) =Identify the maximum profit.$(d) What price will maximize the profit?$3²x₁Ex dollars per unit.

Since you have posted a question with multiple sub-parts, we will provide the solution to only the…

Suppose a company has fixed costs of $36,000 and variable cost per unit of +222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1,452x dollars per unit. (a) Form the cost function and revenue function (in dollars). C(x) = R(x) = Find the break-even points. (Enter your answers as a comma-separated list.) (b) Find the vertex of the revenue function. (x, y) = Identify the maximum revenue. (c) Form the profit function from the cost and revenue functions (in dollars). P(x) = Find the vertex of the profit function. (x, y) = Identify the maximum profit. $

Suppose a company has fixed costs of $36,000 and variable cost per unit of +222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1,452x dollars per unit. (a) Form the cost function and revenue function (in dollars). C(x) = R(x) = Find the break-even points. (Enter your answers as a comma-separated list.) (b) Find the vertex of the revenue function. (x, y) = Identify the maximum revenue. (c) Form the profit function from the cost and revenue functions (in dollars). P(x) = Find the vertex of the profit function. (x, y) = Identify the maximum profit. $

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

Suppose a company has fixed costs of $36,000 and variable cost per unit of x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1,452 -
fx
(a) Form the cost function and revenue function (in dollars).
C(x) =
R(x) =
Find the break-even points. (Enter your answers as a comma-separated list.)
X =
(b) Find the vertex of the revenue function.
(x, y) =
Identify the maximum revenue.
$
(c) Form the profit function from the cost and revenue functions (in dollars).
P(x) =
Find the vertex of the profit function.
(x, y) =
Identify the maximum profit.
$
(d) What price will maximize the profit?
$
3²x₁
Ex dollars per unit.

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